Bond Basics
Bonds are the foundation of the debt securities market and represent a significant portion of the SIE exam. Unlike stocks, which represent ownership, bonds represent a loan from the investor to the issuer. Understanding bond fundamentals—terminology, pricing, and how interest rates affect value—is essential for exam success.
What Is a Bond?
A bond is a debt security representing a loan made by an investor to a borrower. The borrower (issuer) promises to:
- Pay periodic interest (coupon payments)
- Repay the principal (face value) at maturity
Think of a bond as an IOU with specific terms about repayment.
Who Issues Bonds?
| Issuer Type | Examples | Purpose |
|---|---|---|
| U.S. Government | Treasury bonds, notes, bills | Finance federal operations |
| Municipalities | State and local government bonds | Fund public projects |
| Corporations | Corporate bonds | Finance business operations |
| Government agencies | GNMA, FNMA | Support housing market |
Essential Bond Terminology
Par Value (Face Value)
Par value is the amount the issuer will pay at maturity. For most bonds, par value is $1,000.
Important: Par value is also called face value, principal, or redemption value.
Coupon Rate
The coupon rate is the annual interest rate paid on the bond, expressed as a percentage of par value.
Annual Interest = Par Value × Coupon Rate
Example: A bond with 6% coupon rate and $1,000 par pays $60 per year in interest ($1,000 × 0.06 = $60).
Most bonds pay interest semi-annually (twice per year), so a 6% bond pays $30 every six months.
Maturity Date
The maturity date is when the issuer must repay the par value to bondholders. Bond maturities range from short-term (under 1 year) to long-term (30 years or more).
| Term | Typical Maturity | Examples |
|---|---|---|
| Short-term | Under 1 year | T-bills, commercial paper |
| Intermediate | 1-10 years | T-notes, corporate bonds |
| Long-term | Over 10 years | T-bonds, municipal bonds |
Bond Pricing
Bonds trade at prices that fluctuate based on interest rates and credit quality. Prices are quoted as a percentage of par value.
Pricing Terminology
| Price | Meaning | Example ($1,000 par) |
|---|---|---|
| At par | Price equals face value | $1,000 (quoted as 100) |
| At a premium | Price above face value | $1,050 (quoted as 105) |
| At a discount | Price below face value | $950 (quoted as 95) |
Reading Bond Quotes
Bond prices are quoted as a percentage of par:
- Quote of 98 = 98% of $1,000 = $980
- Quote of 102.5 = 102.5% of $1,000 = $1,025
Price Calculation: Market Price = Quote × (Par Value ÷ 100)
Interest Rate Risk: The Inverse Relationship
The most fundamental concept in bond investing is the inverse relationship between interest rates and bond prices:
- When interest rates rise → Bond prices fall
- When interest rates fall → Bond prices rise
Why This Happens
Imagine you own a bond paying 4% interest. If new bonds are issued at 5%, your 4% bond becomes less attractive. To sell it, you must lower the price until the yield matches current rates.
Conversely, if rates fall to 3%, your 4% bond becomes more valuable—buyers will pay a premium to get the higher rate.
Duration and Interest Rate Sensitivity
Duration measures how sensitive a bond's price is to interest rate changes. Key factors affecting duration:
| Factor | Higher Sensitivity | Lower Sensitivity |
|---|---|---|
| Maturity | Longer maturity | Shorter maturity |
| Coupon rate | Lower coupon | Higher coupon |
| Current yield | Lower yield | Higher yield |
Rule of Thumb: Long-term, low-coupon bonds are most sensitive to interest rate changes. Short-term, high-coupon bonds are least sensitive.
Premium and Discount Bonds
Understanding why bonds trade at premiums or discounts:
Premium Bonds
A bond trades at a premium when its coupon rate is higher than current market rates.
- Coupon rate: 6%
- Current market rate: 4%
- Investor pays more than par for the higher income stream
- Premium will gradually decrease as bond approaches maturity
Discount Bonds
A bond trades at a discount when its coupon rate is lower than current market rates.
- Coupon rate: 4%
- Current market rate: 6%
- Investor pays less than par for the lower income stream
- Discount will gradually decrease as bond approaches maturity
Price at Maturity
Regardless of whether a bond trades at a premium or discount, it will always mature at par value ($1,000). As maturity approaches, bond prices naturally move toward par.
Accrued Interest
When a bond is sold between interest payment dates, the seller is entitled to interest earned up to the sale date. This is called accrued interest.
How Accrued Interest Works
- Buyer pays the market price plus accrued interest
- Seller receives the accrued interest for the period held
- On the next payment date, buyer receives the full coupon
Example: A bond pays semi-annual interest on June 1 and December 1. If sold on August 1, the seller has earned 2 months of the 6-month payment and receives that as accrued interest from the buyer.
Corporate vs. Municipal Calculation
| Bond Type | Day Count Convention | Calculation Basis |
|---|---|---|
| Corporate | 30/360 | Assumes 30 days/month, 360 days/year |
| Municipal | 30/360 | Same as corporate |
| Treasury | Actual/Actual | Uses actual calendar days |
Types of Bonds by Payment Structure
Coupon Bonds
Standard bonds that pay periodic interest. Most bonds are coupon bonds.
Zero-Coupon Bonds
Zero-coupon bonds pay no periodic interest. Instead, they are sold at a deep discount and mature at par value.
- Purchase price: $600
- Maturity value: $1,000
- The $400 difference is the investor's return
Tax Note: Even though no cash is received until maturity, investors must pay taxes annually on the "phantom income" (imputed interest). This is called original issue discount (OID).
Callable Bonds
Callable bonds give the issuer the right to redeem bonds before maturity at a specified call price.
- Companies call bonds when interest rates fall
- Investor receives call price (usually par plus a premium)
- Reinvestment risk: Investor must reinvest at lower rates
Key Takeaways
- Bonds are debt securities with fixed interest payments and maturity dates
- Par value is typically $1,000; coupon rate determines annual interest
- Bond prices and interest rates move in opposite directions
- Premium bonds have coupons higher than market rates; discount bonds have lower
- Long-term bonds are more sensitive to interest rate changes
- Accrued interest compensates sellers for interest earned but not yet paid
- Zero-coupon bonds pay no interest but are sold at a discount
A bond with a 5% coupon rate and $1,000 par value pays how much in annual interest?
When market interest rates rise, what happens to the prices of existing bonds?
A bond is quoted at 97. What is the dollar price for a bond with a $1,000 par value?
2.6 Yields
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